Geometry Final Review Guide
To prepare for your final exam, please follow these suggested steps. The more practice you
do, the better prepared you will be for the exam. Be sure to have your calculator with
WORKING batteries, a WORKING compass, and a WORKING protractor with a ruler,
and more than one sharpened pencil. Do not expect to borrow materials.
1. Review key vocabulary terms at the beginning of each chapter or use the list at the end of
the chapter in the review.
2. Read the chapter summary at the end of each chapter several times. Write down any
ideas that are unclear.
3. Review the quizzes and tests you have already taken and be sure that you would get 100%
if you took the same test today.
4. Complete the lesson-by-lesson review in the Study Guide and Review section at the end
of each chapter.
5. Complete the practice test at the end of each chapter.
6. Use pages 969-998 for extra practice problems for each section of each chapter. This is the
EXTRA PRACTICE section of the back of your book.
7. Use pages 999-1011 for extra practice word problems for each section of each chapter.
This is the MIXED PROBLEM SOLVING section of the back of your book.
8. For additional practice on areas you may use previous homework assignments and
worksheets. These should be a solution key to check your work.
9. Use the guiding questions in the remainder of this packet for a general review. However,
do not rely solely on these questions.
****There will be NO PROOFS on the final exam!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
*REMINDER: We completed the following sections:
7.1-7.3, 7.6, 0.9, 8.2-8.5, 8.7, 10.1-10.6, 10.8, 11.1-11.5, 1.7, 12.1-12.6, 3.3, 3.4, 3.6, 10.8,
Equations of Parabolas, Partitioned Line Segment, 13.1-13.3, 13.5, 13.6
Chapter 7
1. What is a ratio?
2. In a triangle, the ratio of the sides are 3:3:8 and the perimeter is 392 in. Find the length
of each side of the triangle.
3. What is a proportion and how do you solve one?
4. Solve for y.
4
6

7
2y  5
5. What is the definition of similar polygons? Draw a diagram.
6. What are the three other ways to prove that triangles are similar? Draw diagrams.
7. How would you prove theses 2 triangles at the right similar?
8. What do the reflexive, symmetric, and transitive properties say?
9. A dilation is a type of _______________________ transformation.
10. What are the 2 types of dilations and what do their scale factors have to be?
11. How do you use the scale factor to perform the dilation?
12. Find the coordinates of triangle ABC with A(4, -2), B(3, 1) and C(-2, 0) after a dilation
with k = 2. What type of dilation is that?
Section 0.9: Simplifying Radicals
1. How do you simplify a radical?
Ex)
72
Ex)
2. When is a radical in simplest form? Ex) Simplify. (a)
6
24 x y
7
9
(b) 2 6  3 8
2
3. When can you add/sub radicals together?
Ex) 7 2  2 2
Ex)
75  27
Chapter 8 (and section 0.9):
1. What does the Pythagorean Thm and its converse say? Which side does the c go with?
2. What are the 2 Pythagorean Triples that I expect you to know? Then list the other 2.
3. How can you use the Pyth Thm to determine if a triangle is acute, obtuse, or right?
4. What are the sides on the special right triangles? Draw diagrams.
5. On an isosceles right triangle, the hypotenuse has length 5 in. Find the length of the legs.
6. What are the trig ratios and what is the acronym we learned to help us remember it?
7. What would you do differently if you were trying to find a missing side as opposed to
trying to find a missing angle?
8. What are the angle of depression and the angle of elevation? Draw diagrams.
9. What are the quantities that a vector measures? What are you really finding?
10. What is standard position of a vector on the coordinate plane?
11. What is the component form of a vector and what do the parts stand for?
Chapter 10
1. Draw a circle and label the center, a radius, a diameter, a chord, a secant, and a tangent.
2. Is the diameter a chord?
3. What are concentric circles?
4. What are the 2 circumference formulas?
5. What is the difference between being inscribed and circumscribed?
6. What is a minor arc? A major arc? What is the other one?
7. What is central angle? What is the sum of all the central angles?
8. What is the measure of a central angle in comparison to its arc? Draw a diagram.
9. What is the formula for arc length?
10. What is the difference between arc length and arc measure?
11. What is an inscribed angle and what type of arc does it form?
12. What is the relationship between the measure of and inscribed angle and its arc?
13. If a triangle is inscribed in a circle and one of the sides of the triangle is the diameter,
what kind of triangle is it and why?
14. What is formed if a tangent and a radius intersect at the point of tangency?
15. If 2 segments are tangent to the same circle and start from the same point, then…
16. If a secant and a tangent intersect at the point of tangency, what is the relationship
between the angle formed and its arc? Draw a diagram.
17. If two secants intersect in the interior of a circle, what is the relationship between the
angle formed and its arc? Draw a diagram.
18. If secant/tangents intersect in the exterior of a circle, what is the relationship between
the angle formed and its arc? Draw a diagram.
Chapter 11
1. What are the formulas to find the perimeter of a circle (2), rectangle, square, and regular
polygon and what do the variables stand for?
2. What is the relationship between the height and the base in a 2D or 3D figure?
3. What is a sector?
4. What are the formulas to find the area of a rectangle, square, triangle, circle, sector,
trapezoid, parallelogram, rhombus/kite, and a regular polygon and what do the variables
stand for?
Chapter 1 Section 7
1. What is the difference between a polyhedron and a non polyhedron?
2. What are the 2 types of polyhedrons and what are the 3 types of non polyhedrons?
3. You name a polyhedron using two words… what are the two words describing?
4. What is a face, lateral face, base, edge, lateral edge, base edge, and vertex on a 3D
figure?
Chapter 12
1. When you find the perimeter of a 2D figure, what are you finding? Area?
2. When you find the lateral area of a 3D figure, what are you finding? Surface area?
Volume?
3. What are the lateral area, surface area, and volume formulas for prisms/cylinders,
pyramids/cones, and spheres (no lateral area)?
Graphing Unit: (Sections 3.3, 3.4, 3.6)
1. What is slope also known as?
2. What is the formula to find the slope of a line given two points?
3. How do you find the slope of a line given a graph?
4. Draw an example of positive, negative, undefined, zero slope.
5. Two parallel lines have __________________________ slope.
6. If a line has a slope of -4 then a line that is perpendicular to it has a slope of _________.
7. What is point-slope form?
8. What is slope-intercept form? What do the variables stand for?
9. Graph each line: y = -2x – 1
x=5
y = -3
10. Write the equation of the line that passes through (3, 5) and (-7, 1) in point-slope form
and simplify it into slope-intercept form.
11. Find the equation of the line that passes through (4, -5) and (6, 9) in slope intercept
form.
13. All vertical lines have ___________ slope and an equation of the form ____________.
14. All horizontal lines have ___________ slope and an equation of the form __________.
15. How do you find the distance between two parallel lines?
16. What is the shortest distance between a point and a line?
17. How do you find the distance from a point to a line?
Graphing Unit: (Section 10.8)
1. What is the general equation for a circle? What do the variable stand for?
2. If a circle has center (-3, 0) and diameter 6, what is the equation?
3. What is the equation of the given circle?
Graphing Unit: (Parabolas and Partitioned Line Segment)
1. What are the general equations for a parabola in vertex form and standard form?
2. What is the definition of a parabola?
3. What is the general formula for finding an equation of a parabola with center (0, 0)?
3. If the center is not at (0, 0), what are the three points you need to find the equation of a
parabola?
4. How do you use the three points to find the equation of a parabola?
5. How do you find a point on a directed line segment split in a given ratio?
6. Find the coordinate of point P that lies along the directed line segment from A(4, 1) to
B(-4, -3) and partitions the segment in the ratio 3 to 1.